Absolutely continuous edge spectrum of topological insulators with an
odd time-reversal symmetry
- URL: http://arxiv.org/abs/2203.05474v1
- Date: Thu, 10 Mar 2022 16:50:39 GMT
- Title: Absolutely continuous edge spectrum of topological insulators with an
odd time-reversal symmetry
- Abstract summary: We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum.
The proof employs a time-reversal symmetric version of the Wold decomposition that singles out ballistic edge modes of the topological insulator.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that non-trivial two-dimensional topological insulators protected by
an odd time-reversal symmetry have absolutely continuous edge spectrum. The
proof employs a time-reversal symmetric version of the Wold decomposition that
singles out ballistic edge modes of the topological insulator.
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